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12.6 Problems

1. Find the following derivatives.

2. Solve the following integrals.

3. Set up an integral and solve it to find the area inside the volume below. The shape is basically a cone with the top cut off.

(move later) 4. Write a program that integrates the following function using the trapezoidal rule and Simpson’s rule. The period of integration should range from 0 to 10 seconds. The program should compare the numerical results to the exact result.

(move later - near end) 5. Write a program that finds the location of the minimum value for the function given below.

8. Differentiate.

9. Integrate the following indefinite functions with respect to x.

10. Solve the following integrals.

11. Write a Scilab program that numerically intergrates the following functions.